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annotate +time/SBPInTimeSecondOrderForm.m @ 774:66eb4a2bbb72 feature/grids

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Remove default scaling of the system. The scaling doens't seem to help actual solutions. One example that fails in the flexural code. With large timesteps the solutions seems to blow up. One particular example is profilePresentation on the tdb_presentation_figures branch with k = 0.0005
author Jonatan Werpers <jonatan@werpers.com>
date Wed, 18 Jul 2018 15:42:52 -0700
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children b5e5b195da1e
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1 classdef SBPInTimeSecondOrderForm < time.Timestepper
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2 properties
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3 A,B,C
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4 M, f
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5
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6 n
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7 t
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8 k
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9
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10 firstOrderTimeStepper
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11 end
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12
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13 methods
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14 % Solves u_tt = Au + Bu_t + C
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15 % A, B can either both be constants or both be function handles,
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16 % They can also be omitted by setting them equal to the empty matrix.
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17 function obj = SBPInTimeSecondOrderForm(A, B, C, k, t0, v0, v0t, TYPE, order, blockSize)
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18 default_arg('TYPE', []);
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19 default_arg('order', []);
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20 default_arg('blockSize',[]);
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21
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22 m = length(v0);
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23
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24 default_arg('A', sparse(m, m));
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25 default_arg('B', sparse(m, m));
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26 default_arg('C', sparse(m, 1));
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27
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28 I = speye(m);
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29 O = sparse(m,m);
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30
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31 obj.M = [
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32 O, I;
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33 A, B;
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34 ];
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35 obj.f = @(t)[
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36 sparse(m,1);
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37 C;
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38 ];
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39
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40 w0 = [v0; v0t];
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41
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42 obj.k = k;
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43 obj.t = t0;
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44 obj.n = 0;
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45
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46 obj.firstOrderTimeStepper = time.SBPInTime(obj.M, obj.f, obj.k, obj.t, w0, TYPE, order, blockSize);
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47 end
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48
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49 function [v,t] = getV(obj)
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50 w = obj.firstOrderTimeStepper.getV();
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51 v = w(1:end/2);
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52 t = obj.t;
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53 end
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54
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55 function [vt,t] = getVt(obj)
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56 w = obj.firstOrderTimeStepper.getV();
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57 vt = w(end/2+1:end);
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58 t = obj.t;
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59 end
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60
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61 function obj = step(obj)
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62 obj.firstOrderTimeStepper.step();
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63 obj.t = obj.firstOrderTimeStepper.t;
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64 obj.n = obj.firstOrderTimeStepper.n;
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65 end
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66 end
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67 end